Three-dimensional flow over a stretching surface in a viscoelastic fluid

Nonlinear Analysis: Real World Applications

Volumn 9, Issue 4, 2008, Pages 1811-1822

  Hayat, T ^a   Sajid, M ^b   Pop, I ^c  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b PAKISTAN INSTITUTE OF NUCLEAR SCIENCE AND TECHNOLOGY   (Pakistan)

^c BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

Boundary layer flow; HAM solution; Stretching sheet; Viscoelastic fluid

Indexed keywords

BOUNDARY LAYER FLOW; NONLINEAR ANALYSIS; SKIN FRICTION; VELOCITY CONTROL; VISCOELASTICITY;

HAM SOLUTIONS; STRETCHING SHEETS; VISCOELASTIC FLUIDS;

HYDRODYNAMICS;

EID: 43649103293     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2007.05.010     Document Type: Article

References (29)

1. Z. Abbas M. Sajid T. Hayat MHD boundary layer flow of an upper-convected Maxwell fluid in a porous channel Theor. Comput. Fluid Dyn. 20 2006 229 238
2. S. Abbasbandy The application of homotopy analysis method to nonlinear equations arising in heat transfer Phys. Lett. A 360 2006 109 113
3. E.M. Aboeldahab G.E.D.A. Azzam Unsteady three-dimensional combined heat and mass transfer fee convective flow over a stretching surface with time-dependent chemical reaction Acta Mech. 184 2006 121 136
4. F.M. Allan, Derivation of the Adomian decomposition method using the homotopy analysis method, Appl. Math. Comput., in press.
5. A.J. Chamkha Hydromagnetic three-dimensional free convection on a vertical stretching surface with heat generation or absorption Int. J. Heat Fluid Flow. 20 1999 84 92
6. C.D.S. Devi H.S. Takhar G. Nath Unsteady three-dimensional, boundary layer flow due to a stretching surface Int. J. Heat Mass Transfer 29 1986 1996 1999
7. T. Hayat Z. Abbas M. Sajid Series solution for the upper-convected Maxwell fluid over a porous stretching plate Phys. Lett. A 358 2006 396 403
8. T. Hayat Z. Abbas M. Sajid S. Asghar The influence of thermal radiation on MHD flow of a second grade fluid Int. J. Heat Mass Transfer 50 2007 931 941
9. T. Hayat M. Sajid Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet Int. J. Heat Mass Transfer 50 2007 75 84
10. T. Hayat M. Sajid On the analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder Phys. Lett. A 361 2007 316 322
11. S.K. Khan M.S. Abel R.M. Sonth Visco-elastic MHD flow, heat and mass transfer over a porous stretching sheet with dissipation of energy and stress work Heat Mass Transfer 40 2003 47 57
12. M. Kumari H.S. Takhar G. Nath MHD flow and heat transfer over a stretching surface with prescribed wall temperature or heat flux Wärme Stoffübertrag. 25 1990 331 336
13. K.N. Lakshmisha S. Venkateswaran G. Nath Three-dimensional unsteady flow with heat and mass transfer over a continuous stretching surface ASME J. Heat Transfer 110 1988 590 595
14. S.J. Liao, The proposed homotopy analysis technique for the solution of non-linear problems. Ph.D Thesis, Shanghai Jiao Tong University, 1992.
15. S.J. Liao Application of process analysis method to the solution of 2D nonlinear progressive gravity waves J. Ship Res. 36 1992 30 37
16. S.J. Liao Beyond Perturbation: Introduction to Homotopy Analysis Method 2003 Chapman & Hall, CRC Press Boca Raton
17. S.J. Liao On the homotopy analysis method for nonlinear problems Appl. Math. Comput. 147 2004 499 513
18. S.J. Liao A new branch of solutions of boundary-layer flows over an impermeable stretched plate Int. J. Heat Mass Transfer 48 2005 2529 2539
19. S.J. Liao An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate Commun. Non-linear Sci. Numer. Simul. 11 2006 326 339
20. K. Sadeghy M. Sharifi Local similarity solution for the flow of a second grade viscoelastic fluid above a moving plate Int. J. Non-Linear Mech. 39 2004 1265 1273
21. M. Sajid, T. Hayat, The application of homotopy analysis method to thin film flows of a third order fluid, Choas Solitons and Fractals, in press.
22. M. Sajid T. Hayat S. Asghar On the analytic solution of the steady flow of a fourth grade fluid Phys. Lett. A 355 2006 18 24
23. M. Sajid, T. Hayat, S. Asghar, Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt, Nonlinear Dyn., in press.
24. B.C. Sakiadis Boundary layer behavior on continuous solid surfaces: I boundary layer equations for two dimensional and axisymmetric flow AIChE J. 7 1961 26 28
25. R. Seshadri N. Sreeshylan G. Nath Unsteady three-dimensional stagnation point flow of a viscoelastic fluid Int. J. Eng. Sci. 35 1997 445 454
26. H.S. Takhar A.J. Chamkha G. Nath Unsteady three-dimensional MHD boundary layer flow due to the impulsive motion of a stretching surface Acta Mech. 146 2001 59 71
27. Y. Tan, S. Abbasbandy, Homotopy analysis method for quadratic Recati differential equation, Commun. Non-Linear Sci. Numer. Simul., in press.
28. C.Y. Wang The three-dimensional flow due to a stretching flat surface Phys. Fluids 27 1984 1915 1917
29. S.P. Zhu An exact and explicit solution for the valuation of American put options Quant. Finance 6 2006 229 242